I've been in a similar situation. I bailed immediately, but I had a fairly nice severance package to cushion the transition. If I hadn't had that, I would have started looking for a new position while I was in the old one. You're chances of getting a job are better of you're already employed (they say).

In addition, it sounds like you're young. Skinning your knees is part of cutting your teeth (ouch sorry mixed metaphors), and I would say it's much better to do that sort of hill-climbing (job-seeking) when you're young.

As trite as it sounds, it's true: doors open when others close, and everything has an opportunity within it. Enjoy the ride, it's all part of the adventure!

I wish you the best possible outcomes.